\contentsline {chapter}{\numberline {1}}{5}
\contentsline {subsection}{\numberline {1.0.1}Course Outline}{5}
\contentsline {subsubsection}{Chapter 1}{5}
\contentsline {subsubsection}{Chapter 2}{5}
\contentsline {subsubsection}{Chapter 3}{5}
\contentsline {subsubsection}{Chapter 4}{5}
\contentsline {subsection}{\numberline {1.0.2}Course Content}{6}
\contentsline {subsection}{\numberline {1.0.3}Units}{6}
\contentsline {section}{\numberline {1.1}Conservation Laws}{7}
\contentsline {subsection}{\numberline {1.1.1}Conservation of Charge}{7}
\contentsline {subsection}{\numberline {1.1.2}Conservation of Energy}{8}
\contentsline {subsection}{\numberline {1.1.3}Angular Momentum}{12}
\contentsline {subsubsection}{Example (Charged Ring)}{12}
\contentsline {chapter}{\numberline {2}Radiation}{13}
\contentsline {section}{\numberline {2.1}Green's Functions}{13}
\contentsline {subsection}{\numberline {2.1.1}Poisson's Equation}{13}
\contentsline {subsection}{\numberline {2.1.2}Wave Equation}{14}
\contentsline {section}{\numberline {2.2}Electromagnetic Potentials}{16}
\contentsline {subsection}{\numberline {2.2.1}Physical Implications}{19}
\contentsline {subsection}{\numberline {2.2.2}Causality}{20}
\contentsline {subsection}{\numberline {2.2.3}Jefimenko Equations}{21}
\contentsline {section}{\numberline {2.3}Oscillating Sources}{22}
\contentsline {subsection}{\numberline {2.3.1}Electric Dipole Radiation}{26}
\contentsline {subsection}{\numberline {2.3.2}Fields from Electric Dipole Radiation}{27}
\contentsline {chapter}{\numberline {3}Relativity}{33}
\contentsline {section}{\numberline {3.1}Lorentz Transformations}{33}
\contentsline {section}{\numberline {3.2}Notes on Lorentz Transform}{39}
\contentsline {subsection}{\numberline {3.2.1}Simultaneity}{39}
\contentsline {subsection}{\numberline {3.2.2}Fizeau}{39}
\contentsline {section}{\numberline {3.3}Four Vectors}{39}
\contentsline {section}{\numberline {3.4}Geometry in Minkowski Space}{46}
\contentsline {subsection}{\numberline {3.4.1}Orthogonality}{46}
\contentsline {subsection}{\numberline {3.4.2}Example: The Doppler Effect}{47}
\contentsline {section}{\numberline {3.5}Relativistic Dynamics}{48}
\contentsline {subsection}{\numberline {3.5.1}Proper Time}{49}
\contentsline {subsection}{\numberline {3.5.2}Energy and Momentum}{50}
\contentsline {subsection}{\numberline {3.5.3}Energy Momentum Conservation}{52}
\contentsline {subsection}{\numberline {3.5.4}Massless Particles}{52}
\contentsline {section}{\numberline {3.6}Relativistic Electrodynamics}{53}
\contentsline {subsection}{\numberline {3.6.1}Electric Charge}{53}
\contentsline {subsection}{\numberline {3.6.2}Example (Feynman)}{55}
\contentsline {subsection}{\numberline {3.6.3}Charge Consevation}{57}
\contentsline {subsection}{\numberline {3.6.4}Electromagnetic Potential}{58}
\contentsline {subsection}{\numberline {3.6.5}Electromagnetic Fields}{59}
\contentsline {subsection}{\numberline {3.6.6}Lorentz Transformation of Electric and Magnetic Fields}{63}
\contentsline {subsection}{\numberline {3.6.7}Observations}{63}
\contentsline {subsection}{\numberline {3.6.8}Example}{64}
\contentsline {subsection}{\numberline {3.6.9}Field Invariants}{65}
\contentsline {section}{\numberline {3.7}Energy and Momentum Tensor}{66}
\contentsline {subsection}{\numberline {3.7.1}Relativistic Massive Charged Particle}{68}
\contentsline {subsection}{\numberline {3.7.2}Angular Momentum}{69}
\contentsline {chapter}{\numberline {4}}{71}
\contentsline {subsection}{\numberline {4.0.3}Radiative Damping}{74}
\contentsline {chapter}{\numberline {5}Action Principles}{79}
\contentsline {section}{\numberline {5.1}Non-Relativistic Point Particle}{79}
\contentsline {section}{\numberline {5.2}Relativistic Point Particles}{80}
\contentsline {section}{\numberline {5.3}Electromagnetic Fields}{81}
\contentsline {section}{\numberline {5.4}Gauge Fixing}{83}
\contentsline {section}{\numberline {5.5}Relativistic Interacting Point Particle}{84}
\contentsline {section}{\numberline {5.6}Interacting Paticles}{86}
